SMT. SULOCHANADEVI SINGHANIA SCHOOL, THANE Class Sub. Exam Date Marks Time Total No. of Printed sides 10 Mathematics Prelim II 31.01.2017 80 2 hrs. 5 General Instructions: 1. Attempt all questions from section-A. 2. Attempt any 4 complete questions from section B 3. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. 4. Omission of essential working will result in loss of marks. 5. Mathematical tables are provided. SECTION A (40 Marks) Attempt all questions from this section. Question 1 a. A shopkeeper sold an article for Rs. 7500 to a customer excluding sales tax of 12%. If the shopkeeper pays a VAT of Rs.180, calculate the price at which the shopkeeper purchased. [3] b. A = B = M = . If BA = M2 find the value of a and b. [3] c. Find the equation of a line passing through the point (3,1) and its x-intercept is double the y-intercept. Find the area of AOB , A and B are the points where the line intersects the X and Y axis respectively. [4] Question 2. a. On a certain sum of money invested at 4% p.a. compounded annually, the difference between the interest for the third year and the interest for the first year is. Rs 24.48. Find the sum. [3] b. Solve the following quadratic equation and give your answer correct to 2 significant figures: = 1. c. Solve using properties of proportion : [3] = 4 [4]